Answer:
250 batches of muffins and 0 waffles.
Step-by-step explanation:
-1
If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function
P = 2a + 1.5b
subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.
Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.
You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.
You would have 10 muffins left because 1/3 of 15 is 5 so 15-5=10
Answer:
Step-by-step explanation:
To solve this problem we need to be familiar with the formula for the surface area of a cone:
We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:
To calculate the height of the cone, we must use the Pythagorean Theorem:
We can treat the side length as the hypotenuse 
, the radius as the base 
, and solve for height 
. Set the expression up like this:
Now we can plug into our original formula:
You make 2 2/7 an improper fraction (16/7) and then you subtract 8/7 from 16/7 and you get 1 1/7 (or 8/7) as your final answer
The building would have to be 24 feet tall
36 inch is 3 ft
21/3=7
168/7=24
